2864688 has 40 divisors (see below), whose sum is σ = 7605168. Its totient is φ = 928512.

The previous prime is 2864683. The next prime is 2864689. The reversal of 2864688 is 8864682.

2864688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2864681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 2582.

2^2864688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2864688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802584).

2864688 is an abundant number, since it is smaller than the sum of its proper divisors (4740480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2864688 is a wasteful number, since it uses less digits than its factorization.

2864688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2864688 is about 1692.5389212659. The cubic root of 2864688 is about 142.0231397852.

The spelling of 2864688 in words is "two million, eight hundred sixty-four thousand, six hundred eighty-eight".